What is expand (1+xy)dx-(1+xy^2)dy ?

The solution to expand (1+xy)dx-(1+xy^2)dy is dx+xydx-dy-xy^2dy

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expand (1+xy)dx-(1+xy^2)dy

expand

(1 + x y) d x - (1 + x y^{2}) d y

d x + x y d x - d y - x y^{2} d y

Solution steps

(1 + x y) d x - (1 + x y^{2}) d y

Expand

d x (1 + x y) : d x + x y d x

= d x + x y d x - (1 + x y^{2}) d y

Expand

- d y (1 + x y^{2}) : - d y - x y^{2} d y

= d x + x y d x - d y - x y^{2} d y

(3 x - \frac{3}{x})^{5} (2 x^{3} - 1)

\frac{d}{d x} ((z (x, y)) (x^{2} + y^{2} + x y))

y (6 - 3 y - x)^{2}

(x^{2} - \frac{2 - 3}{6})^{2}

x (x^{5} e^{13 x} + 3)

What is expand (1+xy)dx-(1+xy^2)dy ?
The solution to expand (1+xy)dx-(1+xy^2)dy is dx+xydx-dy-xy^2dy